A finite element analysis of the natural frequencies of vibration of the human tympanic membrane. Part I

Abstract

The present work examines the natural frequencies of vibration of the decoupled human tympanic membrane using the finite element method. A model comprising 49 isoparametric semi-loof thin shell elements was built, based on shape measurements of Kirikae (1960) and our own measurements on several local cadaver ears. A range of material data input was used similar to that assessed earlier by Funnell and Laszlo (1978). The present results indicate the natural vibration mode shapes are simple at low frequencies, but become more complex at higher values as found earlier (Tonndorf and Khanna, 1972; Funnell and Laszlo, 1978), but at reduced frequencies. Data input of the real drum thickenesses and dimensions considerably increases the natural frequencies by about 50% above those for a uniformly thick membrane. It is suggested that realistic eardrum natural frequencies may result from the use of a membrane internal stress parameter in the data file in order to simulate the interplay between radial and circular fibres resulting in the observed drum curvature.